• 제목/요약/키워드: Functions of matrices

검색결과 178건 처리시간 0.033초

Algorithmic Properties of Isotone Complementarity Problems

  • Ahn, Byong-Hun
    • 한국경영과학회지
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    • 제12권1호
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    • pp.10-18
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    • 1987
  • This paper discusses algorithmic properties of a class of complementarity programs involving strictly diagonally isotone and off-diagonally isotone functions, i. e., functions whose Jacobian matrices have positive diagonal elements and nonnegative off-diagonal elements, A typical traffic equilibrium under elastic demands is cast into this class. Algorithmic properties of these complementarity problems, when a Jacobi-type iteration is applied, are investigated. It is shown that with a properly chosen starting point the generated sequence are decomposed into two converging monotonic subsequences. This and related will be useful in developing solution procedures for this class of complementarity problems.

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박벽보-기둥 요소의 개선된 정적 요소강성행렬 (Improved Static Element Stiffness Matrix of Thin-Walled Beam-Column Elements)

  • 윤희택;김남일;김문영;길흥배
    • 한국강구조학회 논문집
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    • 제14권4호
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    • pp.509-518
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    • 2002
  • 비대칭 단면을 갖는 박벽보의 3차원 휨-배틂 좌굴해석 및 정적해석을 위하여, 평형방정식과 힘-변위 관계식을 이용하여 엄밀한 정적요소강성행렬을 수치적으로 산정하는 개선된 기법을 제시한다. 먼저 14개의 변위피라미터를 도입하여 고차의 연립미분방정식을 1차 연립미분방정식으로 변환하고, 복소수 영역에서 선형고유치문제를 해를 구한다. 이 경우 동적강성행렬을 산정하는 경우와는 달리 복수개의 '영'의 고유치가 발생한다. 이에 대응하는 변위피라미터의 다항식을 항등식 조거능로부터 구하고, 이를 고유치와 결합하여 박벽보 요소의 엄밀한 처짐함수를 구한다. 이렇게 구한 엄밀한 처짐함수에 재단력-변위 관계식을 적용하여 세가지 초기단면력 조건에 대응하는 엄밀한 정적요소강성행렬을 산정한다. 본 방법의 타당성을 보이기 위하여 비대칭 박벽보의 좌굴하중과 처짐값을 계산하고 해석해나 ABAQUS 쉘요소를 이용한 해석결과 및 직선보요소를 사용한 유한요소해의 결과와 비교, 검증한다.

An Elliptical Basis Function Network for Classification of Remote-Sensing Images

  • Luo, Jian-Cheng;Chen, Qiu-Xiao;Zheng, Jiang;Leung, Yee;Ma, Jiang-Hong
    • 대한원격탐사학회:학술대회논문집
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    • 대한원격탐사학회 2003년도 Proceedings of ACRS 2003 ISRS
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    • pp.1326-1328
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    • 2003
  • An elliptical basis function (EBF) network is proposed in this study for the classification of remotely sensed images. Though similar in structure, the EBF network differs from the well-known radial basis function (RBF) network by incorporating full covariance matrices and uses the expectation-maximization (EM) algorithm to estimate the basis functions. Since remotely sensed data often take on mixture -density distributions in the feature space, the proposed network not only possesses the advantage of the RBF mechanism but also utilizes the EM algorithm to compute the maximum likelihood estimates of the mean vectors and covariance matrices of a Gaussian mixture distribution in the training phase. Experimental results show that the EM-based EBF network is faster in training, more accurate, and simpler in structure.

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유한요소법(有限要素法)에 계(係)한 Bracketed Connection의 해석(解析) (Analysis of Bracketed Connection by a Finite Element Method)

  • 임상전;송준태
    • 대한조선학회지
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    • 제12권1호
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    • pp.23-30
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    • 1975
  • Because of the simplicity in analysis and design of steel structure, the connections of members are assumed either as perfectly hinged or rigidly fixed. However, a more economical design would result if the effect of restraint in connections were included in analyzing frame structure. From this point of view, stiffness matrices for member with bracketed connections are presented in the form of the stiffness matrices for member with variable moment of inertia, modified by a correction matrix, whose elements are functions of fixity factors of the connections. To obtain fixity factors, the displacements and stress distribution of bracketed connections are investigated by using of the degital computer program, which have been developed to make computing time shorten and the round off errors smaller. The relationship of moments and slip angle in bracketed connections are presented in the form of curves, which can be used in establishing a stiffness matrices for member with bracketed connections.

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곡선보 요소의 고유치 해석에서 질량행렬의 영향 (The Effect of the Mass Matrix in the Eigenvalue Analysis of Curved Beam Elements)

  • 유하상
    • 대한기계학회논문집A
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    • 제21권2호
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    • pp.288-296
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    • 1997
  • Curved beam elements with two nodes based on shallow beam geometry and strain interpolations are employed in eigenvalue analysis. In these elements, the displacement interpolation functions and mass matrices are consistent with strain fields. To assess the quality of the element mass matrix in free vibration problems, several numerical experiments are performed. In these analysis, both the inconsistent mass matrices using linear displacement interpolation function and the consistent mass matrices are used to show the difference. The numerical results demonstrate that the accuracy is closely related to the property of the mass matrix as well as that of the stiffness matrix and that the mass matrix consistent with strain fields is very beneficial to eigenvalue analysis. Also, it is proved that the strain based elements are very efficient in a wide range of element aspect ratios and curvature properties.

경쟁적 전력시장에서 용량요금에 의한 전략적 용량철회 억제 (Suppression of Strategic Capacity Withholding by Capacity Payment in a Competitive Generation Market)

  • 이광호
    • 전기학회논문지
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    • 제56권7호
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    • pp.1199-1204
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    • 2007
  • In a cost based pool market, the generation capacity can be used as strategic bids by generation companies (Gencos) with the cost functions open to the market. Competition using strategic capacities is modeled by Cournot and Perfect Competiton (PC) model, and transformed into two by two payoff matrix game with Gencos' decision variables of Cournot and PC model. The payoff matrices vary when capacity payments are given to Gencos in accordance with their capacity bids. Nash Equilibrium (NE) in the matrices also moves with capacity price changes. In order to maximize social welfare of the market, NE should locate in a certain position of the payoff matrices, which corresponds to a PC NE. A concept of a critical capacity price is proposed and calculated in this paper that is defined as a minimum capacity price leading to PC NE. The critical capacity price is verified to work as a tool for suppressing a strategic capacity withholding in simulations of a test system.

축하중을 받는 비대칭 박벽 곡선보의 엄밀한 동적강도행렬 (Exact Dynamic Stiffness Matrix of Nonsymmetric Thin-walled Curved Beams Subjected to Axial Forces)

  • 윤희택;박영곤;김문영
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2004년도 추계학술대회 논문집
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    • pp.906-915
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    • 2004
  • Derivation procedures of exact dynamic stiffness matrices of thin-walled curved beams subjected to axial forces are rigorously presented for the spatial free vibration analysis. An exact dynamic stiffness matrix is established from governing equations for a uniform curved beam element with nonsymmetric thin-walled cross section. Firstly this numerical technique is accomplished via a generalized linear eigenvalue problem by introducing 14 displacement parameters and a system of linear algebraic equations with complex matrices. Thus, displacement functions of dispalcement parameters are exactly derived and finally exact stiffness matrices are determined using clement force-displacement relationships. The natural frequencies of the nonsymmetric thin-walled curved beam are evaluated and compared with analytical solutions or results by ABAQUS's shell elements in order to demonstrate the validity of this study.

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Lagrange 이차 보간 다앙식을 이용한 개선된 적분 연산 행렬에 관한 연구 (Study on The Integration Operational Metrices Improved by The Lagrange Second Order Interpolation Polynomial)

  • 김태훈;이해기;정제욱
    • 대한전기학회논문지:시스템및제어부문D
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    • 제51권7호
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    • pp.286-293
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    • 2002
  • This paper presents a new method for finding the Block Pulse series coefficients and deriving the Block Pulse integration operational matrices which are necessary for the control fields using the Block Pulse functions. In order to apply the Block Pulse function technique to the problems of continuous-time dynamic systems more efficiently, it is necessary to find the more exact value of the Block Pulse series coefficients and drives the related integration operational matrices by using the Lagrange second order interpolation polynomial.

Vibration of elastic and viscoelastic multilayered spaces

  • Karasudhi, P.;Liu, Y.C.
    • Structural Engineering and Mechanics
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    • 제1권1호
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    • pp.103-118
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    • 1993
  • The near field is discretized into finite elements, and the far field into infinite elements. Closed form far-field solutions to three fundamental problems are used as the shape functions of the infinite elements. Such infinite elements are capable of transmitting all surface and body waves. An efficient scheme to integrate numerically the stiffness and mass matrices of these elements in presented. Results agree closely with those obtained by others.

ZETA FUNCTIONS FOR ONE-DIMENSIONAL GENERALIZED SOLENOIDS

  • Yi, In-Hyeop
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제18권2호
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    • pp.141-155
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    • 2011
  • We compute zeta functions of 1-solenoids. When our 1-solenoid is nonorientable, we compute Artin-Mazur zeta function and Lefschetz zeta function of the 1-solenoid and its orientable double cover explicitly in terms of adjacency matrices and branch points. And we show that Artin-Mazur zeta function of orientable double cover is a rational function and a quotient of Artin-Mazur zeta function and Lefschetz zeta function of the 1-solenoid.